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Korteweg–de Vries equation
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31	42 NW12 Abstracts IP0 Martin D. Kruskal Lecture - Pattern Quarks and Add to Reading List Source URL: www.siam.org Language: English - Date: 2012-05-31 11:29:38 Partial differential equations Solitons Wave mechanics Fluid dynamics Nonlinear optics Martin David Kruskal Nonlinear Schrödinger equation Korteweg–de Vries equation Differential equation Calculus Physics Multivariable calculus
32	THE INITIAL-BOUNDARY VALUE PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION JUSTIN HOLMER Abstract. We prove local well-posedness of the initial-boundary value problem for the Korteweg-de Vries equation on right half-line, lef Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2006-02-23 01:25:40 Contraction Distribution Differential geometry Spectral theory of ordinary differential equations Wave equation Mathematical analysis Operator theory Generalized functions
33	DYNAMICS OF KDV SOLITONS IN THE PRESENCE OF A SLOWLY VARYING POTENTIAL JUSTIN HOLMER Abstract. We study the dynamics of solitons as solutions to the perturbed KdV (pKdV) equation ∂t u = −∂x (∂x2 u + 3u2 − bu), Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2010-12-31 00:02:51 Multivariable calculus Korteweg–de Vries equation Orbital stability Virial theorem Fermi–Pasta–Ulam problem Calculus Physics Solitons
34	EFFECTIVE DYNAMICS OF DOUBLE SOLITONS FOR PERTURBED MKDV JUSTIN HOLMER, GALINA PERELMAN, AND MACIEJ ZWORSKI Abstract. We consider the perturbed mKdV equation ∂t u = −∂x (∂x2 u + 2u3 − b(x, t)u) where the potent Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2010-12-20 16:05:18 Partial differential equations Solitons Hamiltonian mechanics Wave mechanics Quasiparticles Inverse scattering transform Korteweg–de Vries equation Perturbation theory Differential equation Calculus Physics Mathematical analysis
35	THE UNIVERSITY OF CHICAGO UNIFORM ESTIMATES FOR THE ZAKHAROV SYSTEM AND THE INITIAL-BOUNDARY VALUE PROBLEM FOR THE KORTEWEG-DE VRIES ¨ AND NONLINEAR SCHRODINGER Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2004-05-17 11:58:01 Functional analysis Hilbert space Heat equation Heat transfer Mathematical analysis Operator theory Banach spaces
36	LOW REGULARITY A PRIORI BOUNDS FOR THE MODIFIED KORTEWEG-DE VRIES EQUATION MICHAEL CHRIST, JUSTIN HOLMER, AND DANIEL TATARU Abstract. We study the local well-posedness in the Sobolev space H s (R) for the modified Kortew Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2012-08-01 12:14:17 Calculus Envelope Hilbert space Contraction Theorems and definitions in linear algebra Hilbert transform Mathematical analysis Mathematics Operator theory
37	Internat. J. Math. & Math. Sci. Vol. 24, No[removed]–384 S0161171200004440 © Hindawi Publishing Corp. THREE-DIMENSIONAL KORTEWEG-DE VRIES EQUATION Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2010-03-26 14:08:58 Partial differential equations Fluid dynamics Water waves Wave mechanics Cnoidal wave Korteweg–de Vries equation Kadomtsev–Petviashvili equation Wave equation Differential equation Calculus Multivariable calculus Solitons
38	Hindawi Publishing Corporation Abstract and Applied Analysis Volume 2014, Article ID[removed], 7 pages http://dx.doi.org[removed][removed]Research Article Add to Reading List Source URL: downloads.hindawi.com Language: English - Date: 2014-08-28 08:32:34 Solitons Fluid dynamics Partial differential equations Wave mechanics Water waves Boussinesq approximation Korteweg–de Vries equation Nonlinear system Exact solutions in general relativity Calculus Multivariable calculus Physics
39	Hindawi Publishing Corporation ISRN Mathematical Physics Volume 2013, Article ID[removed], 7 pages http://dx.doi.org[removed][removed]Research Article Add to Reading List Source URL: downloads.hindawi.com Language: English - Date: 2014-08-28 15:01:11 Linear algebra Partial differential equations Multivariable calculus Hilbert space Korteweg–de Vries equation Initial value problem Calculus Mathematical analysis Mathematics
40	Hindawi Publishing Corporation Advances in Mathematical Physics Volume 2013, Article ID[removed], 5 pages http://dx.doi.org[removed][removed]Research Article Add to Reading List Source URL: downloads.hindawi.com Language: English - Date: 2014-08-28 16:08:58 Mathematical analysis Korteweg–de Vries equation Exact solutions in general relativity Integrable system Soliton Cnoidal wave Recursion Hindawi Publishing Corporation Group Physics Theoretical physics Symmetry